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Refined vorticity statistics of decaying rotating three-dimensional turbulence

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Particle-Laden Flow

Part of the book series: ERCOFTAC Series ((ERCO,volume 11))

Abstract

The influence of background rotation on all nontrivial triple correlations of vorticity (VTCs) has been studied for an unbounded incompressible homogeneous turbulent flow, using pseudo-spectral direct numerical simulation. It is found that the time evolutions of the VTCs are in agreement with exact theoretical predictions for rotating turbulence presented herein. Furthermore, the effects of viscosity, initial value of the velocity derivative skewness S∂i u i (t ini), and background rotation rate on the vertical vorticity skewness Sω 3 have been thoroughly investigated. The initial growth rate of Sω3 is found to be proportional to t 0.75±0.1 for all considered cases, in agreement with recent experimental results by Morize et al. [Phys. Fluids 17, 095105 (2005)]. Also, it is found that higher background rotation rates — implying more linearity — result in lower final values of Sω3, while lower viscosities and higher S∂i u i (t ini) both yield higher final values of Sω3.

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Author information

Authors and Affiliations

  1. Fluid Dynamics Laboratory, Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands

    L. J. A. van Bokhoven & H. J. H. Clercx

  2. Laboratoire de Mécanique des Fluides et d’Acoustique, École Centrale de Lyon, 69134, Écully Cedex, France

    C. Cambon, L. Liechtenstein & F. S. Godeferd

Authors
  1. L. J. A. van Bokhoven
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  2. C. Cambon
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  3. L. Liechtenstein
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  4. F. S. Godeferd
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  5. H. J. H. Clercx
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Editor information

Editors and Affiliations

  1. Multiscale Modeling and Simulation, J.M. Burgers Center, Faculty EEMCS, University of Twente, Enschede, The Netherlands

    Bernard J. Geurts

  2. Vortex Dynamics and Turbulence, Department of Applied Physics, Eindhoven University of Technology, Eindhoven, The Netherlands

    Herman Clercx

  3. Environmental Fluid Mechanics, Delft University of Technology, Delft, The Netherlands

    Wim Uijttewaal

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van Bokhoven, L.J.A., Cambon, C., Liechtenstein, L., Godeferd, F.S., Clercx, H.J.H. (2007). Refined vorticity statistics of decaying rotating three-dimensional turbulence. In: Geurts, B.J., Clercx, H., Uijttewaal, W. (eds) Particle-Laden Flow. ERCOFTAC Series, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6218-6_10

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